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Infinite Powers: How Calculus Reveals the Secrets of the Universe

by Steven Strogatz

Calculus, from ancient puzzles to modern discoveries

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AlbakiReads Editorial

Calculus, from ancient puzzles to modern discoveries

Steven Strogatz presents calculus as a way to break complex questions into manageable parts, using the idea of infinity to connect mathematical reasoning with practical problems. The book traces the subject from its early hints in ancient Greece through later scientific applications, including planetary motion, electricity, spaceflight and gravitational waves. Its examples also touch on technologies and research such as GPS, ultrasound and the study of DNA. The historical thread gives the explanations a wider frame: calculus appears not only as a set of techniques, but as a mathematical approach that has helped people investigate how the natural world works.

Good fit for readers who enjoy

  • Adults curious about the history and real-world applications of calculus.
  • Readers who want an accessible introduction to mathematical ideas beyond classroom exercises.
  • Those interested in connections between mathematics, technology and scientific discovery.

Themes

Calculus and infinityHistory of mathematicsMathematics in science and technologyExplaining natural phenomena

Based on publisher information and book metadata.

Book overview

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus--how it works and why it makes our lives immeasurably better.

Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.

Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down-to-earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real-world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS.

As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

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